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3 years ago

7x + 2y = 11

Mathematics

1 answer:

enyata [817]3 years ago

6 0

Answer:

x = 1, y = 2

Step-by-step explanation:

7x + 2y = 11 -----Equation 1

Equation 1 × 7:

49x + 14y = 77 -----Equation 2

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4x - 7y = -10 -----Equation 3

Equation 3 × 2:

8x - 14y = -20 -----Equation 4

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Equations 3 + 4:

49x + 14y + 8x - 14y = 77-20

49x + 8x = 77-20

57x = 57

x = 57 ÷ 57

x = 1

Substitute x = 1 into Equation 1.

7x + 2y = 11

7(1) + 2y = 11

7 + 2y = 11

2y = 11-7

2y = 4

y = 4 ÷ 2

y = 2

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Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max's family spent $146 on 3 adults tic

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The price of 1 youth ticket is $ 22

Solution:

Let "y" be the price of 1 youth ticket

Let "a" be the price of 1 adult ticket

To find: price of 1 youth ticket

Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park

So we can frame a equation as:

2 adult tickets x price of 1 adult ticket + 3 youth tickets x price of 1 youth ticket = 134

$2 \times a + 3 \times y = 134$

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Max's family spent $146 on 3 adults tickets and 2 youth tickets

So we can frame a equation as:

3 adult tickets x price of 1 adult ticket + 2 youth tickets x price of 1 youth ticket = 146

$3 \times a + 2 \times y = 146$

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Let us solve eqn 1 and eqn 2 to find values of "y"

Multiply eqn 1 by 3

6a + 9y = 402 ---- eqn 3

Multiply eqn 2 by 2

6a + 4y = 292 ----- eqn 4

Subtract eqn 4 from eqn 3

6a + 9y = 402

6a + 4y = 292

( - ) -------------------

5y = 110

y = 22

Thus the price of 1 youth ticket is $ 22

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